South Central Airlines operates a commuter flight betweenAtlanta and Charlotte. The plane holds 30 passengers, and theairline makes a $100 profit on each passenger on the flight. WhenSouth Central takes 28 reservations for the flight, experience hasshown that, on average, two passengers do not show up. As a result,with 30 reservations, South Central is averaging 28 passengers witha profit of 28(100) = $2,800 per flight. The airline operationsoffice has asked for an evaluation of an overbooking strategy inwhich the airline would accept 32 reservations even though theairplane holds only 30 passengers. The probability distribution forthe number of passengers showing up when 32 reservations areaccepted is as follows:

Passenger Showing Up	Probability
28	0.05
29	0.25
30	0.50
31	0.15
32	0.05

The airline will receive a profit of $100 for each passenger onthe flight, up to the capacity of 30 passengers. The airline willalso incur a cost for any passenger denied seating on the flight.This cost covers added expenses of rescheduling the passenger aswell as loss of goodwill, estimated to be $150 per passenger.Develop a worksheet model that will simulate the performance of theoverbooking system. Simulate the number of passengers showing upfor each of 500 flights by using the VLOOKUP function. Use theresults to compute the profit for each flight.

A. What is the mean profit per flight if overbooking isimplemented? Round your answer to the nearest dollar.

Over $